Simpson's Paradox and Mutually Favorable Events
- 1 September 1973
- journal article
- research article
- Published by JSTOR in Journal of the American Statistical Association
- Vol. 68 (343) , 746
- https://doi.org/10.2307/2284813
Abstract
This note points out that Simpson's Paradox [the possibility of P(A\B) < P(A\B') even though P(A\BC) > P(A\B'C) and P(A\BC') > P(A\B' C')] is equivalent to the possibility of P(A\B) < P(A) even though P(A\BC) > P(A\C) and P(A\BC') > P(A\C'). In the language of Kai-Lai Chung's “mutually favorable events” this is the possibility that B can be unfavorable to A even though B is conditionally favorable to A both given C and given C'.Keywords
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